THE CORRECTING FUNCTIONS METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR THE AMBIPOLAR DIFFUSION EQUATION IN A DOMAIN WITH A CURVILINEAR BOUNDARIES

  • I. P. Moroz Institute of Automatics, Cybernetics and Computer Engineering, National University of Water and Environmental Engineering, Rivne, Ukraine
Keywords: boundary value problem, perturbation theory, oscillating boundaries, correcting functions

Abstract

An approach for the ambipolar diffusion equation boundary value problem solving, which is posed in a two-dimensional domain with oscillating boundaries, is proposed. The construction of the solution of the model problem is based on the corresponding problem for a certain internal canonical majorant domain and the methodology for constructing the so-called corrective corrections based on the use of the perturbation theory elements. A feature of this problem is that it is not the problem equation or boundary conditions that are perturbed, but the region. And this leads to the construction of a fundamentally new solution structure.

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Published
2023-02-01
How to Cite
Moroz, I. (2023). THE CORRECTING FUNCTIONS METHOD FOR SOLVING A BOUNDARY VALUE PROBLEM FOR THE AMBIPOLAR DIFFUSION EQUATION IN A DOMAIN WITH A CURVILINEAR BOUNDARIES. Journal of Numerical and Applied Mathematics, 1(2), 91-97. https://doi.org/10.17721/2706-9699.2022.2.11